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A
A • Statistical Distributions
Statistical Distributions
Arena contains a set of built-in functions for generating random numbers from the com-
monly used probability distributions. These distributions appear on pull-down menus in
many Arena modules where they’re likely to be used. They also match the distributions in
the Arena Input Analyzer. This appendix describes all of the Arena distributions.
Each of the distributions in Arena has one or more parameter values associated with it.
You must specify these parameter values to define the distribution fully. The number,
meaning, and order of the parameter values depend on the distribution. A summary of the
distributions (in alphabetical order) and parameter values is given in the table below.
Summary of Arena’s Probability Distributions
Distribution Parameter Values
Beta BETA Beta, Alpha
Continuous CONT
CumP
1
,Val
1
, ... CumP
n
,Val
n
Discrete DISC
CumP
1
,Val
1
, ... CumP
n
,Val
n
Erlang ERLA ExpoMean, k
Exponential EXPO Mean
Gamma GAMM Beta, Alpha
Johnson JOHN Gamma, Delta, Lambda, Xi
Lognormal LOGN LogMean, LogStd
Normal NORM Mean, StdDev
Poisson POIS Mean
Triangular TRIA Min, Mode, Max
Uniform UNIF Min, Max
Weibull WEIB Beta, Alpha
- USER’S GUIDE 1
- Contents 3
- 4 • Using Visio and Arena 51 4
- Index 81 5
- What is Arena Basic Edition? 7
- Intended audience 7
- Where can I go for help? 8
- Reference the user’s guides 8
- Explore our examples 8
- Get help 8
- Use the SMARTs library 8
- Get phone support 9
- Get Web support 9
- Get training 10
- Get consulting services 10
- Contact us 10
- Getting Started 11
- • • • • • 12
- Process the applications 14
- How do I use Snap and Grid? 15
- What is a module? 17
- Define model data 18
- What are entities? 19
- Complete? (Decide module) 21
- Prepare for the simulation 24
- Save the simulation model 24
- Simulate the process 24
- View simulation reports 26
- Rerun the simulation 32
- What is a model thumbnail? 32
- Next steps 33
- The Basic Process Panel 35
- Dispose module 36
- Process module 37
- Decide module 40
- Batch module 41
- Separate module 42
- Assign module 43
- Record module 44
- Data modules 46
- Entity module 46
- Queue module 47
- Resource module 48
- Variable module 49
- Schedule module 50
- Set module 52
- Calendar schedule information 53
- Time Pattern 53
- Calendar Exceptions 55
- Calendar States 56
- Using Visio and Arena 57
- Start a drawing 58
- Place and connect shapes 59
- Enter custom properties 60
- Add data shapes 61
- Check the drawing 61
- Transfer the drawing to Arena 62
- Simulate other Visio drawings 63
- Statistical Distributions 65
- UNIF( 3.5, 6 ) 66
- NORMAL(83, 12.8) 66
- TRIA( 10, 15, 22) 66
- )BETA(Beta, Alpha) 67
- , . . ., x 70
- Exponential( 72
- Delta, Lambda, Xi) 74
- Lognormal( 75
- LOGN(LogMean, LogStd) 75
- (−∞, +∞) 77
- Poisson( 78
- )POISSON(Mean) or POIS(Mean) 78
- Mode, Max) 79
- for a ≤ x ≤ b 80
- Weibull( 81
- Library Shapes and Symbols 83
- Arena .plb libraries 84
- Arena Symbol Factory 84
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